Question

Draw the graph for the equation, given below :
3x + 2y = 6

Answer 1

3x + 2y = 6
⇒ 2y = 6 - 3x
∴ y = ${\displaystyle \frac{6-3x}{2}}$

When x = 0;  
y = ${\displaystyle \frac{6-3\times 0}{2}}$
= ${\displaystyle \frac{6-0}{2}}$
= 3

When x = 2; 
y = ${\displaystyle \frac{6-3\times 2}{2}}$
= ${\displaystyle \frac{6-6}{2}}$
= 0

When x = 4; 
y = ${\displaystyle \frac{6-3\times 4}{2}}$
= ${\displaystyle \frac{6-12}{2}}$
= -3

X	0	2	4
Y	3	0	- 3

Plotting these points we get the required graph as shown below :